A wheel makes 1000 revolutions in covering a distance of 154 km. Find the radius (in metre) of the wheel.

Correct option is A

Given:

Distance covered = 154 km = 154,000 metres
Number of revolutions = 1000

Formula Used:
Distance covered in one revolution = Circumference of the wheel = 2πr

Radius = $$\frac{\text{Total Distance}}{2\pi \times \text{Number of Revolutions}}$$​

Solution:

​$$2\pi r = \frac{154000}{1000} = 154 \text{ metres}$$​

r =$$\frac{154}{2\pi} = \frac{154}{2 \times \frac{22}7} \approx 24\frac12$$​